Example 1:

First, make sure the logs on both sides have the same base. Both logarithms have a base of 7, so that's good. Since it's the same exact operation on both sides, they cancel each other out!

Example 2:

Once again, start by checking to make sure the logarithms on both sides have the same base. Both logs have base 9, so the same exact operation is being performed on both sides. This means 3x and 15 must be the same thing! This leaves you with a simple equation that you can solve for x.